Hodges-lehmann estimators in the case or grouped data - III

Abstract

Let be the Hodges-Lehmann estimator (based on an appropriate one-sample rank statistic) of the center θ of a symmetric and absolutely continuous distribution. Let measure-ments be rounded off, to, say the nearest integers, and the corresponding estimator based on the grouped data (ties being handled by the average scores method). The following two results hold:

(i) With probability one.

(ii) for a general θ , and if θ is an integer or zero

For any given α , a confidence interval for θ , with confidence coefficient at least 1-α , is constructed. Applications to Chemistry, Weight Training Data and Head Circumference Data illustrate.

Keywords:

• confidence intervals
• molecular weight f insulin
• weight training
• head circumferences